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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 47432w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.t1 | 47432w1 | \([0, 1, 0, -96840, 10738517]\) | \(12544\) | \(8006754153499024\) | \([]\) | \(226800\) | \(1.7950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432w do not have complex multiplication.Modular form 47432.2.a.w
sage: E.q_eigenform(10)